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It proves the singular transport operator generates a strongly continuous C_0 semigroup V(t0)and the weak compactness properties of the second-order remained term of the Dyson-Phillips expansion for the C_0 semigroup V(t0)in L1 space,and to obtain the spectrum of the singular transport operator only consist of,at most,finitely many isolate eigenvalues which have a finite algebraic multiplicity in trip Γ.

证明了这类方程相应的奇异迁移算子产生C0半群和该半群的Dyson-Phillips展开式的二阶余项是弱紧的，从而得到了该迁移算子的谱在区域Γ中仅由至多有限个具有限代数重数的离散本征值组成等结果。上饶师院数学与计算机系江西上饶334001；南昌大学数学系江西南昌330047袁邓彬

Every strictly decreasing sequence of elements of the set must terminate after only finitely many steps (assuming the axiom of dependent choice).

注意这个第三点：对于一个良序集，任何严格递减序列都必然是有限的，无论这个集合的基数有多大。

Then we introduce the concept of(n,0)-projective dimension for modules and rings.It measures how far away a finitely generated module is from being n-presented,and how far away a ring is from being Noetherian.

然后，我们介绍环与模的(n，0)-投射维数，它可以衡量一个有限生成模与n-表现模的差距，以及衡量一个环与Noether环的差距。

We give a theorem for the stable range of endomorphism rings of finitely generated projective modules over a formal triangular matrix ring T when T is an exchange ring.

2.6节对有有限exchange性质的形式三角矩阵环T给出了有限生成投射T-模的自同态环有稳定度n的一个具体关系。

Ube a finite internal finitely additive measure space.

μ是内有限可加测度空间。

In the fifth chapter,we mainly discuss the relationship of the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space.

在第五章，我们重点讨论了由有限测度空间导出的度量空间和由内有限可加测度空间导出的度量空间的关系，然后在此关系的基础上研究了由内有限可加测度空间导出的度量空间的性质。

For all finitely additive probability measures defined on theσ-algebra ?

上的所有有限可加概率测度的表示理论。

Generalized essential finitely generated -module is defined.

则M一定是有限生成的。7。定义了广义基本有限生成的TS1-模。

A criterion theorem of having no finite coverings for a finitely generated module M over a semisimple ring R is given.

对半单环上有限生成左模给出一个无有限覆盖的判定定理。

By using the partition theorem of unity, a continuous selection theorem for a multimap from a compact Hausdorff topological space to a finitely continuous topological spaces (simply, FC-spaces) without any convexity structure was obtained, and from which and Tychonoff fixed point theorem, a collectively fixed point theorem for a family of multimaps on the product space of compact FC-spaces and several collectively fixed point theorems for a family of multimaps on the product space of non-compact FC-spaces were given.

利用单位分解定理得到从紧的Hausdorff拓扑空间到没有任何凸结构的有限连续拓扑空间的集值映射的连续选择定理，并从该结果和Tychonoff不动点定理，得到紧的FC-空间的乘积空间上映射族的集族不动点定理和若干个非紧的FC-空间的乘积空间上的映射族的集族不动点定理，对文献中的相应结果进行了改进和一般化。

Effective local search tactics reaches local searchers when they are ready to buy - with every way that it is possible for them to buy from you.

有效的地方搜索策略达到当地的搜索，当他们准备购买-以各种方式，这是他们有可能从您那里进行购买。

The first two are periodic sentences for their beginnings; and the fifth and the last are also periodic sentences each for the embedding of a parenthetic structure.

1960年代中后期，当战后女权主义和当时的许多其他抗议运动在西欧和北美发展成某种势力时，性别的概念演绎成补充和延伸生物性别差异的概念。